The Weil group of a hyper-class formation
Number Theory
2007-05-23 v1
Abstract
In the setting of generalized class field theory, one has a field K with a hyper-class formation C, a complex of G_K-modules that plays the role of a class formation. Letting C(L) denote H^0(G_L, C), there is a distinguished cohomology class in H^2(Gal(L/K), C(L)), the hyper-fundamental class. In this paper, we prove that a group extension of Gal(L/K) by C(L) whose corresponding cohomology class is the hyper-fundamental class satisfies the classical axioms of a Weil group.
Cite
@article{arxiv.math/0508078,
title = {The Weil group of a hyper-class formation},
author = {Karen Acquista},
journal= {arXiv preprint arXiv:math/0508078},
year = {2007}
}
Comments
14 pages